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Finding the Third Proportional to 129,743 and 279,493

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Solution

The third proportional to 129,743 and 279,493 is: 602,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,743 : 279,493 = 279,493 : x
  2. Step 2: Convert to fraction form
    129,743/279,493 = 279,493/x
  3. Step 3: Cross multiply
    129,743x = 279,493 × 279,493
  4. Step 4: Simplify right side
    129,743x = 78,116,337,049
  5. Step 5: Solve for x
    x = 78,116,337,049/129,743
  6. Step 6: Final answer
    x = 602,085.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.